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Finding the Fourth Proportional to 2,561.94, 3,534.40 and 1,566.90

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Solution

The fourth proportional to 2,561.94, 3,534.40 and 1,566.90 is: 2,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.94 : 3,534.40 = 1,566.90 : x
  2. Step 2: Convert to fraction form
    2,561.94/3,534.40 = 1,566.90/x
  3. Step 3: Cross multiply
    2,561.94x = 3,534.40 × 1,566.90
  4. Step 4: Simplify right side
    2,561.94x = 5,538,051.36
  5. Step 5: Solve for x
    x = 5,538,051.36/2,561.94
  6. Step 6: Final answer
    x = 2,161.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.